Answer: it will be 45, but for some reason it’s not in your answer choices
Step-by-step explanation:
Hello!
Answer:
1 quart = 4 cups
7 quarts = 28 cups
1 guest needs 2 cups
12 guests need 24 cups
She has 28 and needs 24, yes there is enough
Hope this helps! Have a day <3
Answer:
Option 1
Step-by-step explanation:
To find the graph of the quadratic function, we find it's zeros.
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots 
such that 
, given by the following formulas:
f(x) = x² - 4x + 3
This means that 
So
Zeros at x = 1 and x = 3, that is, it crosses the x-axis at this values, so the graph is given by option 1.
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Answer:
4xy
Step-by-step explanation:
List the prime factors of each term.
- 4xy = 2·2·x·y
- 8x^2y = 2·2·2·x·x·y
- 24x^4y^5 = 2·2·2·3·x·x·x·x·y·y·y·y·y
Identify a factor that appears in each list. Cross it off of each list and add it to your list of "output" factors. Repeat until you run out of factors that appear in all of the lists.
You should quickly determine that all of the factors of 4xy appear in both other lists. That is the GCF. When you have exhausted the factors of 4xy, there are no more possible common factors.
GCF = 4xy
Then the expression can be factored as ...
= 4xy·(1 +2x -6x^3y^4)
_____
<em>Additional comment</em>
If you use exponents to simplify writing repeated multiplication, you will find that the GCF has the factors with the lowest exponent. Here, the lowest power of 2 is 2^2 in 4xy; the lowest exponents of x and y are 1, also in that term.
Answer:
y=1/2x+5/2
Step-by-step explanation:
expand the point-slope form and rearrange to y=mx+b
y-3=1/2(x-1)
y-3=1/2x-1/2
y=1/2x+5/2
